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425224128 = 26371737503
BaseRepresentation
bin11001010110000…
…110011111000000
31002122010121211210
4121112012133000
51332324133003
6110110010120
713352226330
oct3126063700
91078117753
10425224128
111a90341aa
12ba4a6940
136a133814
144068d0c0
15274e7503
hex195867c0

425224128 has 224 divisors, whose sum is σ = 1401007104. Its totient is φ = 111034368.

The previous prime is 425224081. The next prime is 425224133. The reversal of 425224128 is 821422524.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 425224095 and 425224104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845125 + ... + 845627.

It is an arithmetic number, because the mean of its divisors is an integer number (6254496).

Almost surely, 2425224128 is an apocalyptic number.

425224128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700503552).

425224128 is an abundant number, since it is smaller than the sum of its proper divisors (975782976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425224128 is a wasteful number, since it uses less digits than its factorization.

425224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 569 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 425224128 is about 20620.9633140646. The cubic root of 425224128 is about 751.9794396069.

The spelling of 425224128 in words is "four hundred twenty-five million, two hundred twenty-four thousand, one hundred twenty-eight".